Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1951 4(3):358-370; doi:10.1093/qjmam/4.3.358
© 1951 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by WOODS, L. C.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

A NEW RELAXATION TREATMENT OF FLOW WITH AXIAL SYMMETRY

L. C. WOODS

( Engineering Laboratory Oxford )

In this paper methods are developed for the calculation of incompressible and compressible flow under conditions of axial symmetry. Relaxation is used to solve new forms of the flow equations. In these equations {Phi}, the velocity potential, and {psi}, Stokes's stream function, for the incompressible flow, are the independent variables.

The radial distance, r, is the dependent variable in the incompressible flow equation, and this feature renders the method especially suitable for the design of axially symmetric ducts. A typical design problem is calculated as an example at the end of the paper.

Log(I/q), where q is the velocity, is the dependent variable in the compressible flow equation, which can only be solved after the incompressible flow solution has been found.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.